The least number of 5-digits which is divisible by 45,60,75 and 120 when it is added to 119?
A) 10800
B)10681
C)10720
D)19881
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Answer:
Option B) 10681
Step-by-step explanation:
119 ends with 9, so options B or D considered as the numbers end with 1. Options A or C excluded as the numbers formed by addition will not be divisible by 60 or 120 as they end with 0.
Lets analyze options:
Option B) 10681+119=10800
10800/45=240
10800/60=180
10800/75=144
10800/120=90
As we see 10800 is divisible by all 45, 60, 75 and 120 and is smaller than the one on option D. So the answer is Option B) 10681
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